Explanation Consider the function f ( x ) = cos x . Now take some points as shown in the table: x 0 π 2 − π 2 − 3 π 2 3 π 2 f ( x ) = cos x 1 0 0 0 0 The steps to draw the graph of the function f ( x ) = cos x are shown below: Step 1: Mark the points of the function f ( x ) = cos x computed above

7th Edition

ISBN: 9781337291408

Author: Stefan Waner, Steven Costenoble

Publisher: Brooks Cole

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Chapter 9.2, Problem 79E

To determine

The reason for f′(x)=−sinx, rather than sinx by referring to the graph of f(x)=cosx.

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Chapter 9.2, Problem 78E

Chapter 9.2, Problem 80E

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Chapter 9 Solutions

Applied Calculus, Loose-leaf Version

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The reason for f ′ ( x ) = − sin x , rather than sin x by referring to the graph of f ( x ) = cos x .

Solution Summary: The author explains how to draw the graph of the function f(x)=mathrmcosx.

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The reason for f′(x)=−sinx, rather than sinx by referring to the graph of f(x)=cosx.

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Chapter 9 Solutions